Entanglement entropy and negative energy in two dimensions
arXiv:1404.0602 · doi:10.1103/PhysRevD.90.041904
Abstract
It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional CFT that such negative energy densities are present in any non-trivial conformal vacuum and can be interpreted in terms of the entanglement structure of such states. We derive an exact identity relating the outgoing energy flux and the entanglement entropy in the in-vacuum. When applied to two-dimensional models of black hole evaporation, this identity implies that unitarity is incompatible with monotonic mass loss.
arXiv comment5 pages, 3 figures
References in corpus (12)
- Entanglement Entropy and Quantum Field Theory
- Geometric and Renormalized Entropy in Conformal Field Theory
- Formation and evaporation of non-singular black holes
- Information in Black Hole Radiation
- Averaged Energy Conditions and Quantum Inequalities
- Planck stars
- Remarks on the entanglement entropy for disconnected regions
- Information loss problem and a `black hole' model with a closed apparent horizon
- Quantum Energy Inequalities in two-dimensional conformal field theory
- Minimal conditions for the existence of a Hawking-like flux
- Localization of Negative Energy and the Bekenstein Bound
- Quantum inequalities in two dimensional curved spacetimes
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